On Computing the Number of Latin Rectangles
暂无分享,去创建一个
Gang Wang | Xiaoguang Liu | Sheng Lin | Rebecca J. Stones | G. Wang | X. Liu | Sheng Lin
[1] John Riordan. A Recurrence Relation for Three-Line Latin Rectangles , 1952 .
[2] G. Rota. On the foundations of combinatorial theory I. Theory of Möbius Functions , 1964 .
[3] Douglas S. Stones. ON THE NUMBER OF LATIN RECTANGLES , 2010, Bulletin of the Australian Mathematical Society.
[4] G. Rota. On the Foundations of Combinatorial Theory , 2009 .
[5] Arthur A. Drisko. Proof of the Alon-Tarsi Conjecture for n=2rp , 1998, Electron. J. Comb..
[6] I. Gessel. Counting three-line Latin rectangles , 1986 .
[7] Ian M. Wanless,et al. A Congruence Connecting Latin Rectangles and Partial Orthomorphisms , 2012 .
[8] Brendan D. McKay,et al. Asymptotic enumeration of Latin rectangles , 1984 .
[9] P. Doyle. The number of Latin rectangles , 2007, math/0703896.
[10] Ian M. Wanless,et al. Divisors of the number of Latin rectangles , 2010, J. Comb. Theory A.
[11] Paul Erdös,et al. The Asymptotic Number of Latin Rectangles , 1946 .
[12] Doron Zeilberger,et al. Sister Celine's technique and its generalizations , 1982 .
[13] C. R. Pranesachar,et al. Enumeration of Latin rectangles via SDR’s , 1981 .
[14] John Riordan,et al. Introduction to Combinatorial Analysis , 1959 .
[15] J. Q. Longyear,et al. Counting $3$ by $n$ Latin rectangles , 1976 .
[16] Douglas S. Stones. The Many Formulae for the Number of Latin Rectangles , 2010, Electron. J. Comb..
[17] David G. Glynn,et al. The Conjectures of Alon--Tarsi and Rota in Dimension Prime Minus One , 2010, SIAM J. Discret. Math..
[18] Ian M. Wanless,et al. Compound orthomorphisms of the cyclic group , 2010, Finite Fields Their Appl..
[19] Raúl M. Falcón. Cycle structures of autotopisms of the Latin squares of order up to 11 , 2007, Ars Comb..
[20] John Riordan,et al. Introduction to Combinatorial Analysis , 1958 .
[21] Ian M. Wanless,et al. Cycle structure of autotopisms of quasigroups and latin squares , 2012, 1509.05655.
[22] Ivar Skau,et al. A Note on the Asymptotic Number of Latin Rectangles , 1998, Eur. J. Comb..
[23] Ian M. Wanless,et al. Bounds on the number of autotopisms and subsquares of a Latin square , 2013, Comb..
[24] Jia-Yu Shao,et al. A formula for the number of Latin squares , 1992, Discret. Math..
[25] William O. J. Moser. A generalization of Riordan's formula for 3xn latin rectangles , 1982, Discret. Math..
[26] L. Carlitz. Congruences connected with three-line latin rectangles , 1953 .
[27] Ronald Alter. How Many Latin Squares are There , 1975 .
[28] I. Goulden,et al. Combinatorial Enumeration , 2004 .
[29] J. Riordan. Three-Line Latin Rectangles—II , 1944 .
[30] I. Gessel. Counting Latin rectangles , 1987 .
[31] Koichiro Yamamoto,et al. An Asymptotic Series for the Number of Three-Line Latin Rectangles , 1950 .
[32] Douglas S. Stones. Formulae for the Alon-Tarsi Conjecture , 2012, SIAM J. Discret. Math..
[33] Ian M. Wanless,et al. How not to prove the Alon-Tarsi conjecture , 2012, Nagoya Mathematical Journal.
[34] S. M. Jacob. The Enumeration of the Latin Rectangle of Depth Three by Means of a Formula of Reduction, with other Theorems Relating to Non‐Clashing Substitutions and Latin Squares , 2022 .
[35] Ian M. Wanless,et al. On the Number of Latin Squares , 2005, 0909.2101.
[36] Navin M. Singhi,et al. On the Number of Latin Rectangles and Chromatic Polynomial of L(Kr, s) , 1980, Eur. J. Comb..
[37] Richard M. Wilson,et al. A course in combinatorics , 1992 .
[38] Arthur A. Drisko. On the Number of Even and Odd Latin Squares of Orderp+1 , 1997 .